BIMSA > BIMSA Integrable Systems Seminar Symplectic and Contact Geometry of Monge– Ampère equation: Introduction and application
Symplectic and Contact Geometry of Monge– Ampère equation: Introduction and application
Organizers
Nicolai Reshetikhin , Ivan Sechin , Andrey Tsiganov
Speaker
Vladimir Rubtsov
Time
Friday, April 14, 2023 5:00 PM - 6:30 PM
Venue
Online
Abstract
I am going to present an introduction into the geometric approach to Monge– Ampère operators and equations based on contact and symplectic structures of cotangent and the 1st jet bundles of a smooth manifold. This approach was developed by V. Lychagin and goes back to the ideas of E. Cartan and his successor T. Lepage. I shall try to make my talk self-contained. I also plan to discuss various applications and links with important geometric structures.